---
res:
  bibo_abstract:
  - We consider the standard overlap (math formular) of any bi-orthogonal family of
    left and right eigenvectors of a large random matrix X with centred i.i.d. entries
    and we prove that it decays as an inverse second power of the distance between
    the corresponding eigenvalues. This extends similar results for the complex Gaussian
    ensemble from Bourgade and Dubach [15], as well as Benaych-Georges and Zeitouni
    [13], to any i.i.d. matrix ensemble in both symmetry classes. As a main tool,
    we prove a two-resolvent local law for the Hermitisation of X uniformly in the
    spectrum with optimal decay rate and optimal dependence on the density near the
    spectral edge.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Giorgio
      foaf_name: Cipolloni, Giorgio
      foaf_surname: Cipolloni
      foaf_workInfoHomepage: http://www.librecat.org/personId=42198EFA-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0002-4901-7992
  - foaf_Person:
      foaf_givenName: László
      foaf_name: Erdös, László
      foaf_surname: Erdös
      foaf_workInfoHomepage: http://www.librecat.org/personId=4DBD5372-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0001-5366-9603
  - foaf_Person:
      foaf_givenName: Yuanyuan
      foaf_name: Xu, Yuanyuan
      foaf_surname: Xu
      foaf_workInfoHomepage: http://www.librecat.org/personId=7902bdb1-a2a4-11eb-a164-c9216f71aea3
    orcid: 0000-0003-1559-1205
  bibo_doi: 10.1016/j.jfa.2025.111180
  bibo_issue: '1'
  bibo_volume: 290
  dct_date: 2026^xs_gYear
  dct_identifier:
  - UT:001583178200001
  dct_isPartOf:
  - http://id.crossref.org/issn/0022-1236
  dct_language: eng
  dct_publisher: Elsevier@
  dct_title: Optimal decay of eigenvector overlap for non-Hermitian random matrices@
...